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141138392440 = 23547263285451
BaseRepresentation
bin1000001101110010000…
…0001111010101111000
3111111022011210012121011
42003130200033111320
54303022412024230
6144501005323304
713124353353463
oct2033440172570
9444264705534
10141138392440
1154946a41241
122342ab66534
13104036958a6
146b8c8c22da
153a10b3ce2a
hex20dc80f578

141138392440 has 64 divisors (see below), whose sum is σ = 325552296960. Its totient is φ = 55043894400.

The previous prime is 141138392431. The next prime is 141138392449. The reversal of 141138392440 is 44293831141.

It is an interprime number because it is at equal distance from previous prime (141138392431) and next prime (141138392449).

It is a super-3 number, since 3×1411383924403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 141138392393 and 141138392402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141138392449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351715 + ... + 637165.

It is an arithmetic number, because the mean of its divisors is an integer number (5086754640).

Almost surely, 2141138392440 is an apocalyptic number.

141138392440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141138392440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162776148480).

141138392440 is an abundant number, since it is smaller than the sum of its proper divisors (184413904520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141138392440 is a wasteful number, since it uses less digits than its factorization.

141138392440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285772 (or 285768 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 141138392440 in words is "one hundred forty-one billion, one hundred thirty-eight million, three hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 263 376 470 526 940 1052 1315 1880 2104 2630 5260 10520 12361 24722 49444 61805 98888 123610 247220 285451 494440 570902 1141804 1427255 2283608 2854510 5709020 11418040 13416197 26832394 53664788 67080985 75073613 107329576 134161970 150147226 268323940 300294452 375368065 536647880 600588904 750736130 1501472260 3002944520 3528459811 7056919622 14113839244 17642299055 28227678488 35284598110 70569196220 141138392440